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Finding the Fourth Proportional to 220,563.66, 330,878.31 and 102,246.96

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Solution

The fourth proportional to 220,563.66, 330,878.31 and 102,246.96 is: 153,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,563.66 : 330,878.31 = 102,246.96 : x
  2. Step 2: Convert to fraction form
    220,563.66/330,878.31 = 102,246.96/x
  3. Step 3: Cross multiply
    220,563.66x = 330,878.31 × 102,246.96
  4. Step 4: Simplify right side
    220,563.66x = 33,831,301,327.44
  5. Step 5: Solve for x
    x = 33,831,301,327.44/220,563.66
  6. Step 6: Final answer
    x = 153,385.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.